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- Title
Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model.
- Authors
Gubitosi, Giulia; Mignemi, Salvatore
- Abstract
It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by diffeomorphisms, produce the same physical predictions is still debated. In this work, we focus our attention on a few different momentum spaces that can be associated to the Galilean Snyder noncommutative spacetime model and show that they produce different predictions for the energy spectrum of the harmonic oscillator.
- Subjects
DIFFEOMORPHISMS; HARMONIC oscillators; QUANTUM mechanics; PHASE space; HILBERT space; SCHRODINGER equation
- Publication
Universe (2218-1997), 2022, Vol 8, Issue 2, pN.PAG
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe8020108